AI RESEARCH
The Geometric Price of Discrete Logic: Context-driven Manifold Dynamics of Number Representations
arXiv CS.LG
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ArXi:2603.23577v1 Announce Type: new Large language models (LLMs) generalize smoothly across continuous semantic spaces, yet strict logical reasoning demands the formation of discrete decision boundaries. Prevailing theories relying on linear isometric projections fail to resolve this fundamental tension.